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Answer:

1. B. I and III

Explanation:

• 10-peso coins = 10x, where x = 20

• 50-peso bill = 50y, where y is the number of bills

• Total amount is at most ₱ 1,200

10x + 50y ≤ 1200

10(20) + 50y ≤ 1200

200 + 50y ≤ 1200

50y ≤ 1200 - 200

50y ≤ 1000

50y ÷ 50 ≤ 1000 ÷ 50

y ≤ 20

Therefore, the number of 50-peso bill is less than or equal to the number of 10-peso coins.

2. B. 3x + 2y ≤ 123

Explanation:

• Apples = 3x, where x is the cost of each apples

• Oranges = 2y, where y is the cost of each oranges

• Total cost is at most ₱123.0

The mathematical statement that represents the given situation is 3x + 2y ≤ 123.

3. A. at most 70km/h

Explanation:

• Distance traveled by the car = 2x, where x = 60

• Distance traveled by the bus= 2y, where is the speed

• Total distance traveled is at most 260 km

2x + 2y ≤ 260

2(60) + 2y ≤ 260

120 + 2y ≤ 260

2y ≤ 260 - 120

2y ≤ 140

2y ÷ 2 ≤ 140 ÷ 2

y ≤ 70

Therefore, the speed of the bus us at most 70km/h.

4. Is it possible for Mel to prepare a 2m by 9m garden?

Yes, because the area of a 2m by 9m rectangle garden is 18m².

Explanation:

Area = Length × Width

Area = 2m × 9m

Area = 18m²

5. Aside from a 3 m by 6 m, is there another dimensions possible for the garden?

Yes, another possible dimensions of the 18m² rectangular garden is 3m by 6m.

Explanation:

Area = Length × Width

Area = 3m × 6m

Area = 18m²

6. C. 9000 < 400S + 750V

Explanation:

• Comments per skits/pranks = 400S

• Comments per task = 750V

• Goal is at least 9000 comments

The mathematical statement that should be used to solve the given situation is 9000 < 400S + 750V.

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